There are many tools for assessing risk of bias, however, I'm confused which is most proffered for evaluation risk of bias in studies?
There are many potential biases in observational epidemiologic studies. Two tools could be useful: participation rate, and control of potential confounding.
To assess RoB in randomized controlled trials, particularly for systematic literature reviews, I would recommend using the RoB-Tool published by the Cochrane Collaboration.
More information can be found here: https://methods.cochrane.org/risk-bias-2
I would say that it depends on the bias you are looking for. For example, if you have a longitudinal study and you want to verify the attrition bias, you can use regressions, t-test, and many other ways to compare those who dropped out from your study.
Otherwise, talking about the possible selection bias, I usually try to reason about it rather than demonstrate something. What possible bias may have happened? How could they affect your results? If you argue this properly, the reader is aware of the risk of bias and can interpret your results in the best way.
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